Question

What is the equation of the line that passes through the point (- 1, 5) and is parallel to the line y = - 3x + 5

Answer 1

y - 5 = -3(x + 1)

Explanation:

Parallel lines has the same slope.

The equation of a line that passing through point (x₁, y₁) with a slope of m is:

y - y₁ = m(x - x₁)

m = -3

(-1, 5) ⇒ x₁ = -1, y₁ = 5

Therefore the equation:

y - 5 = -3(x + 1)